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Phenomenology of symmetry breaking from extra dimensions

J. Alfaro·A. Broncano·M. B. Gavela·S. Rigolin·M. Salvatori
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Abstract

Motivated by the electroweak hierarchy problem, we consider theories with two extra dimensions in which the four-dimensional scalar fields are components of gauge boson in full space. We explore the Nielsen-Olesen instability for SU(N) on a torus, in the presence of a magnetic background. A field theory approach is developed, computing explicitly the minimum of the complete effective potential, including tri-linear and quartic couplings and determining the symmetries of the stable vacua. We also develop appropriate gauge-fixing terms when both Kaluza-Klein and Landau levels are present and interacting, discussing the interplay between the possible six and four dimensional choices. The equivalence between coordinate dependent and constant Scherk-Schwarz boundary conditions -associated to either continuous or discrete Wilson lines- is analyzed.

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J. Alfaro, A. Broncano, M. B. Gavela, S. Rigolin, M. Salvatori. 2007-04-30. Phenomenology of symmetry breaking from extra dimensions. https://doi.org/10.1088/1126-6708%2F2007%2F01%2F005

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